In this paper locally most powerful rank tests for independence with censored data for a one-parameter family are derived. The statistic derived has discrete score functions and its asymptotic normality follows from a theorem essentially given by Ruymgaart .
"Locally Most Powerful Rank Tests for Independence with Censored Data." Ann. Statist. 3 (1) 241 - 245, January, 1975. https://doi.org/10.1214/aos/1176343014